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04/14/2023
Bounded Poincaré operators for twisted and BGG complexes
We construct bounded Poincaré operators for twisted complexes and BGG co...
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03/20/2023
An exterior calculus framework for polytopal methods
We develop in this work the first polytopal complexes of differential fo...
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02/05/2023
Nonlinear elasticity complex and a finite element diagram chase
In this paper, we present a nonlinear version of the linear elasticity (...
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02/05/2023
Discrete tensor product BGG sequences: splines and finite elements
In this paper, we provide a systematic discretization of the Bernstein-...
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08/06/2022
Oberwolfach report : Discretization of Hilbert complexes
The report is based on an extended abstract for the MFO workshop "Hilber...
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03/04/2022
Partially discontinuous nodal finite elements for H(curl) and H(div)
We investigate discretization of H(curl) and H(div) in two and three spa...
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03/02/2022
BGG sequences with weak regularity and applications
We investigate some Bernstein-Gelfand-Gelfand (BGG) complexes on bounded...
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02/23/2022
Structure-preserving and helicity-conserving finite element approximations and preconditioning for the Hall MHD equations
We develop structure-preserving finite element methods for the incompres...
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10/24/2021
Spurious solutions for high order curl problems
We investigate numerical solutions of high order curl problems with vari...
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09/16/2020
A discrete elasticity complex on three-dimensional Alfeld splits
We construct conforming finite element elasticity complexes on the Alfel...
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08/09/2020
A family of finite element Stokes complexes in three dimensions
We construct finite element Stokes complexes on tetrahedral meshes in th...
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07/15/2020
Helicity-conservative finite element discretization for MHD systems
We construct finite element methods for the magnetohydrodynamics (MHD) s...
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05/25/2020
Complexes from complexes
This paper is concerned with the derivation and properties of differenti...
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04/26/2020
Simple curl-curl-conforming finite elements in two dimensions
We construct smooth finite element de Rham complexes in two space dimens...
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06/21/2019
Finite Element Systems for vector bundles : elasticity and curvature
We develop a theory of Finite Element Systems, for the purpose of discre...
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06/19/2019